List questions from p-adic-number-theory

Published on 31 Aug 2021 - 13:13

58

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Limit of $(1+u^{1/n})^n$ as $n\to\infty$ in $p$-adic topology.

Published on 23 Feb 2026 - 2:59

245

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Why $\text{SL}_2(\mathbb Z_p)$ is open in $\text{GL}_2(\mathbb Q_p)$?

Published on 27 Mar 2026 - 12:28

109

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Reference request for characterisation of discrete valuations

Published on 28 Mar 2026 - 22:55

375

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How complicated is the theory of $\mathbb Q_p$?

Published on 09 Sep 2021 - 12:40

431

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Inertia group of $\operatorname{Gal}{(\overline{\mathbb{Q}}_p/{\mathbb{Q}}_p)}$

Published on 29 Mar 2026 - 13:27

175

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Automorphism Group of Bruhat-Tits Tree

Published on 01 Apr 2026 - 10:49

81

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Does $\Bbb Q_p^×$ have index $n$ subgroup?

Published on 29 Mar 2026 - 13:23

63

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Is $|x+y|_p=\mathrm{max}(|x|_p,|y|_p)$ for $p$-adic norm? Sanity test.

Published on 23 Feb 2026 - 2:57

224

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Example of degree $n$ ramified, but not totally ramified extension

Published on 25 Mar 2026 - 9:50

163

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Extension of $\Bbb Q_p$ is always abelian extension?

Published on 29 Mar 2026 - 13:29

227

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Finite galois extension over $\Bbb Q_p$ is always abelian?

Published on 29 Mar 2026 - 13:27

450

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When $\mathbb{Q}_p(p^{1/n})/\mathbb{Q}_p$ is Galois?

Published on 22 Sep 2021 - 5:06

60

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Why $\mathbb Z_p$ has square free unit element?

Published on 22 Sep 2021 - 13:49

77

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Let $p$ be odd prime.Why $a,b∈\mathbb Z_p^×-{(\mathbb Z_p^×)}^2$ implies $a/b∈{(\mathbb Z_p^×)}^2$?

Published on 29 Mar 2026 - 2:20

List Question

$y^2＝p^2x^3＋1$ does not have solution in $\Bbb Q_p$?

Limit of $(1+u^{1/n})^n$ as $n\to\infty$ in $p$-adic topology.

Why $\text{SL}_2(\mathbb Z_p)$ is open in $\text{GL}_2(\mathbb Q_p)$?

Reference request for characterisation of discrete valuations

How complicated is the theory of $\mathbb Q_p$?

Inertia group of $\operatorname{Gal}{(\overline{\mathbb{Q}}_p/{\mathbb{Q}}_p)}$

Automorphism Group of Bruhat-Tits Tree

Does $\Bbb Q_p^×$ have index $n$ subgroup?

Is $|x+y|_p=\mathrm{max}(|x|_p,|y|_p)$ for $p$-adic norm? Sanity test.

Example of degree $n$ ramified, but not totally ramified extension

Extension of $\Bbb Q_p$ is always abelian extension?

Finite galois extension over $\Bbb Q_p$ is always abelian?

When $\mathbb{Q}_p(p^{1/n})/\mathbb{Q}_p$ is Galois?

Why $\mathbb Z_p$ has square free unit element?

Let $p$ be odd prime.Why $a,b∈\mathbb Z_p^×-{(\mathbb Z_p^×)}^2$ implies $a/b∈{(\mathbb Z_p^×)}^2$?

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